Displaying similar documents to “Communication Complexity And Linearly Ordered Sets”

Construction of Very Hard Functions for Multiparty Communication Complexity

Ján Maňuch (2010)

RAIRO - Theoretical Informatics and Applications

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We consider the multiparty communication model defined in [4] using the formalism from [8]. First, we correct an inaccuracy in the proof of the fundamental result of [6] providing a lower bound on the nondeterministic communication complexity of a function. Then we construct several very hard functions, , functions such that those as well as their complements have the worst possible nondeterministic communication complexity. The problem to find a particular very hard function...

The Communication Hierarchy of Time and Space Bounded Parallel Machines

Norbert Popély (2010)

RAIRO - Theoretical Informatics and Applications

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We describe the communicating alternating machines and their simulation. We show that, in the case of communicating alternating machines which are bounded, simultaneously, by polynomial time and logarithmic space, the use of three communication levels instead of two does not increase computational power of communicating alternating machines. This resolves an open problem [2] concerning the exact position of machines with three communication levels in the hierarchy.

The communication hierarchy of time and space bounded parallel machines

Norbert Popély (2003)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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We describe the communicating alternating machines and their simulation. We show that, in the case of communicating alternating machines which are bounded, simultaneously, by polynomial time and logarithmic space, the use of three communication levels instead of two does not increase computational power of communicating alternating machines. This resolves an open problem [2] concerning the exact position of machines with three communication levels in the hierarchy.